| New Jacobian Elliptic Function Solutions to Modified KdV Equation: Ⅰ |
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| 作者单位： | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | An extended Jacobian elliptic function expansion method presented recently by us is applied to the mKdVequation such that thirteen families of Jacobian elliptic function solutions including both new solutions and Fu‘s allresults are obtained. When the modulus m → 1 or 0, we can find the corresponding six solitary wave solutions and sixtrigonometric function solutions. This shows that our method is more powerful to construct more exact Jacobian ellipticfunction solutions and can be applied to other nonlinear differential equations.
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New Jacobian Elliptic Function Solutions to Modified KdV Equation: Ⅰ |
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| Authors: | YAN Zhen-Ya |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | An extended Jacobian elliptic function expansion method presented recently by us is applied to the mKdVequation such that thirteen families of Jacobian elliptic function solutions including both new solutions and Fu's allresults are obtained. When the modulus m → 1 or 0, we can find the corresponding six solitary wave solutions and sixtrigonometric function solutions. This shows that our method is more powerful to construct more exact Jacobian ellipticfunction solutions and can be applied to other nonlinear differential equations. |
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| Keywords: | modified KdV equation Jacobian elliptic function solitary wave solution trigonometric functionsolution |
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